LEADER 04378nam 22006735 450 001 9910298169903321 005 20200706224318.0 010 $a3-319-63049-0 024 7 $a10.1007/978-3-319-63049-6 035 $a(CKB)4100000001039303 035 $a(DE-He213)978-3-319-63049-6 035 $a(MiAaPQ)EBC5119464 035 $a(PPN)222234024 035 $a(EXLCZ)994100000001039303 100 $a20171101d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aVector Variational Inequalities and Vector Optimization $eTheory and Applications /$fby Qamrul Hasan Ansari, Elisabeth Köbis, Jen-Chih Yao 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XIII, 509 p. 60 illus., 1 illus. in color.) 225 1 $aVector Optimization,$x1867-8971 311 $a3-319-63048-2 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aPreliminaries -- Analysis over Cones -- Solution Concepts in Vector Optimization -- Classical Methods in Vector Optimization -- Vector Variational Inequalities -- Linear Scalarization of Vector Variational Inequalities -- Nonsmooth Vector Variational Inequalities -- Generalized Vector Variational Inequalities -- Vector Equilibrium Problems -- Generalized Vector Equilibrium Problems. 330 $aThis book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems. It is the first-ever book to introduce well-posedness and sensitivity analysis for vector equilibrium problems. The first chapter provides basic notations and results from the areas of convex analysis, functional analysis, set-valued analysis and fixed-point theory for set-valued maps, as well as a brief introduction to variational inequalities and equilibrium problems. Chapter 2 presents an overview of analysis over cones, including continuity and convexity of vector-valued functions. The book then shifts its focus to solution concepts and classical methods in vector optimization. It describes the formulation of vector variational inequalities and their applications to vector optimization, followed by separate chapters on linear scalarization, nonsmooth and generalized vector variational inequalities. Lastly, the book introduces readers to vector equilibrium problems and generalized vector equilibrium problems. Written in an illustrative and reader-friendly way, the book offers a valuable resource for all researchers whose work involves optimization and vector optimization. 410 0$aVector Optimization,$x1867-8971 606 $aOperations research 606 $aDecision making 606 $aMathematical optimization 606 $aCalculus of variations 606 $aManagement science 606 $aOperations Research/Decision Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/521000 606 $aContinuous Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26030 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024 615 0$aOperations research. 615 0$aDecision making. 615 0$aMathematical optimization. 615 0$aCalculus of variations. 615 0$aManagement science. 615 14$aOperations Research/Decision Theory. 615 24$aContinuous Optimization. 615 24$aCalculus of Variations and Optimal Control; Optimization. 615 24$aOperations Research, Management Science. 676 $a515.64 700 $aAnsari$b Qamrul Hasan$4aut$4http://id.loc.gov/vocabulary/relators/aut$01060704 702 $aKöbis$b Elisabeth$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aYao$b Jen-Chih$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910298169903321 996 $aVector Variational Inequalities and Vector Optimization$92514988 997 $aUNINA